Can anyone help me confirm if I've solved this correctly?

Many thanks.is divisible by 6 for n

Q.

Attempt:Step 1:For n = 1...

, which can be divided by 6.

Therefore, n = 1 is true...

Step 2:For n = k...

Assume can be divided by 6,

i.e. , where Z is an integer...1Show that n = k + 1 is true...

i.e. can be divided by 4

=> ...from1above => => => => =>

Thus, assuming n = k, we can say n = k + 1 is true and true for n = 2, 3,... and all n